Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

sample31.0ms

Algorithm

intervals

Results

8.0ms	202×	body	80	valid
3.0ms	19×	body	640	valid
2.0ms	17×	body	320	valid
2.0ms	9×	body	1280	valid
1.0ms	35×	body	80	invalid
1.0ms	9×	body	160	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4885	13
1	4885	13

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 15.8b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.2b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.8b	(* (- y z) (/ (- t x) (- a z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- t x) (- a z))
4.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
19.0ms	(* (- y z) (/ (- t x) (- a z)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (- t x) (- a z))
56.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
42.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5183	1602

prune170.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	10	129

Merged error: 2.8b

Counts

129 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.3b	(/ 1 (/ (- a z) (- t x)))
5.4b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
5.8b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
83×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`cbrt-unprod`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 344

Calls

4 calls:

11.0ms	(/ (- a z) (- t x))
13.0ms	(/ 1 (/ (- a z) (- t x)))
4.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
39.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (- a z) (- t x))
36.0ms	(/ 1 (/ (- a z) (- t x)))
55.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
96.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify75.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5155	4965

prune296.0ms

Filtered

206 candidates to 356 candidates (-72.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	354	2	356
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	357	9	366

Merged error: 2.8b

Counts

366 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(* (/ (- y z) (- a z)) (- t x))
2.2b	(+ x (* (/ (- y z) (- a z)) (- t x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

8.0ms	(/ (- y z) (- a z))
18.0ms	(* (/ (- y z) (- a z)) (- t x))
4.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- y z) (- a z))
60.0ms	(* (/ (- y z) (- a z)) (- t x))
58.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5343	1678

prune127.0ms

Filtered

90 candidates to 132 candidates (-46.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	132	9	141

Merged error: 2.8b

Counts

141 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
3.2b	(+ x (/ (- y z) (/ (- a z) (- t x))))
5.9b	(/ (- y z) (/ (- a z) (- t x)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

8.0ms	(/ (- a z) (- t x))
49.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
17.0ms	(/ (- y z) (/ (- a z) (- t x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (- a z) (- t x))
56.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
65.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5076	5455

prune173.0ms

Filtered

171 candidates to 283 candidates (-65.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	283	9	292

Merged error: 2.8b

Counts

292 → 9

regimes664.0ms

Accuracy

22.6% (6.3b remaining)

Error of 10.0b against oracle of 3.7b and baseline of 11.9b

bsearch60.0ms

Steps

Iters	Range		Point
9	1.0429145270322208e-90	1.080107711695669e-83	3.528776701234468e-87
9	-8.161159844765917e-165	-2.0890584244726836e-173	-3.980018115154435e-169

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	33
1	64	33

end0.0ms

sample872.0ms

Algorithm

intervals

Results

288.0ms	6545×	body	80	valid
70.0ms	443×	body	640	valid
53.0ms	274×	body	1280	valid
51.0ms	448×	body	320	valid
50.0ms	1241×	body	80	invalid
25.0ms	267×	body	160	valid
6.0ms	23×	body	2560	valid

Details

analyze1.1s

sample31.0ms

simplify66.0ms

prune8.0ms

localize10.0ms

rewrite36.0ms

series112.0ms

simplify44.0ms

prune170.0ms

localize11.0ms

rewrite88.0ms

series200.0ms

simplify75.0ms

prune296.0ms

localize13.0ms

rewrite36.0ms

series128.0ms

simplify47.0ms

prune127.0ms

localize9.0ms

rewrite92.0ms

series135.0ms

simplify69.0ms

prune173.0ms

regimes664.0ms

bsearch60.0ms

simplify2.0ms

end0.0ms

sample872.0ms

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